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1. Why the inductive and mathematical sciences, after their first rapid development at the culmination of Greek civilization, advanced so slowly for two thousand years are questions which have interested the modern philosopher not less than the objects with which these sciences are more immediately conversant.
[结构简析] 破折号后面的内容(见难句译注2)先撇开。这样便于理解，整个句子是主谓表结构，前面一个问题句作主语，question后跟一个定语从句，和not less than连接的表语。
[参考译文] 为什么归纳发和数学科学，在希腊文明达到顶点时首先快速发展后，两千年内进展缓慢，现在哲学家对这个问题的兴趣不亚于对这些科学很熟悉研究的对象。
2. …—and why in the following two hundred years a knowledge of natural and mathematical science has accumulated, which so vastly exceeds all that was previously known that these sciences may be justly regarded as the products of our own times—…
[参考译文] 问什么在后来的二百年中自然科学数理科学积累起来，它们广泛的超越了过去已知的一切，所以就把这些科学视为我们时代的产品。
3. arrested development 停滞发展(被制止了的发展)。
4. Or should we ascribe the characteristics of both periods to so-called historical accidents—to the influence of conjunctions in circumstances of which no explanation is possible, save in the omnipotence and wisdom of a guiding Providence?
[参考译文] 或者我们是否应当把两个阶段的特点归因于所谓的历史的偶然性(意外事件)——归因于客观环境中相似(结合)的影响。这一点除非以指导一切的上帝的智慧和无限权利来解释，否则难以解说清楚。
